Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
938 conjugacy classes of subgroups; only the 155 normal subgroups are shown.
This group has 938 conjugacy classes of subgroups — too many to draw. Only its 155 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #14539783 | C2 | semidirect |
| 3. #14528099 | C2 | semidirect |
| 4. #14527411 | C2 | semidirect |
| 5. #14527381 | C2 | semidirect |
| 6. C17×#3166 | C2 | semidirect |
| 14. #11763201 | C22 | semidirect |
| 15. #11763171 | C22 | semidirect |
| 20. #11762551 | C22 | semidirect |
| 21. #11762548 | C22 | semidirect |
| 24. C17×#501 | C22 | semidirect |
| 136. #3166 | D17 | semidirect |
| 163. #501 | C2×D17 | semidirect |
| 220. C17 | #19006 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763557 | 2 |
| #14539783 | 2 |
| #14528099 | 2 |
| #14527411 | 2 |
| #14527381 | 2 |
| C17×#3166 | 2 |
| #19006 | 17 |